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Finding the Third Proportional to 85,559 and 176,538

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Solution

The third proportional to 85,559 and 176,538 is: 364,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,559 : 176,538 = 176,538 : x
  2. Step 2: Convert to fraction form
    85,559/176,538 = 176,538/x
  3. Step 3: Cross multiply
    85,559x = 176,538 × 176,538
  4. Step 4: Simplify right side
    85,559x = 31,165,665,444
  5. Step 5: Solve for x
    x = 31,165,665,444/85,559
  6. Step 6: Final answer
    x = 364,259.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.